Pith Number

pith:TQFVTCAR

pith:2013:TQFVTCARAXTJE2TN5PEBCACBH2

not attested not anchored not stored refs pending

Weak Z-structures for some classes of groups

Craig R. Guilbault

arxiv:1302.3908 v2 · 2013-02-15 · math.GR · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TQFVTCARAXTJE2TN5PEBCACBH2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:41:42.565365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c0b59881105e6926a6debc81100413e9a041dc7bab1c4d8555814f7fae865f4

Aliases

arxiv: 1302.3908 · arxiv_version: 1302.3908v2 · doi: 10.48550/arxiv.1302.3908 · pith_short_12: TQFVTCARAXTJ · pith_short_16: TQFVTCARAXTJE2TN · pith_short_8: TQFVTCAR

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TQFVTCARAXTJE2TN5PEBCACBH2 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9c0b59881105e6926a6debc81100413e9a041dc7bab1c4d8555814f7fae865f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd19f96e6dfb43ebc047caf5316a8f0d69afb4b78f80421e6667839949bd65ee",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-02-15T22:38:20Z",
    "title_canon_sha256": "9cd860843cb991a5194d516aa22431ed7151eca5b798509e939393bfd4bd614a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3908",
    "kind": "arxiv",
    "version": 2
  }
}